False
central angle central angle
In a circle, a central angle is formed by two radii. By definition, the measure of the intercepted arc is equal to the central angle.
radii
72 degrees 72 degrees
A circular sector is formed by two radii and an arc. And the angle formed due to the two radii is central angle(Θ). Area of a sector = (Θ/360) πr2.If we divide a circle into seven sectors having equal central angles then the circle is divided into seven equal parts.Angle of the whole circle is 360o. So we should divide the whole angle into 7 equal parts each measuring 360o/7 and then forming the corresponding sectors.
false
If I understand the question correctly, then the answer is two.
Inscribed angles and central angles differ in their definitions and the way they relate to a circle. A central angle is formed by two radii extending from the center of the circle to the circumference, while an inscribed angle is formed by two chords that meet at a point on the circle itself. The measure of a central angle is equal to the arc it subtends, whereas an inscribed angle measures half of the arc it intercepts. This fundamental difference affects their geometric properties and applications in circle-related problems.
central angle central angle
A sector is the area enclosed by two radii of a circle and their intercepted arc, and the angle that is formed by these radii, is called a central angle. A central angle is measured by its intercepted arc. It has the same number of degrees as the arc it intercepts. For example, a central angle which is a right angle intercepts a 90 degrees arc; a 30 degrees central angle intercepts a 30 degrees arc, and a central angle which is a straight angle intercepts a semicircle of 180 degrees. Whereas, an inscribed angle is an angle whose vertex is on the circle and whose sides are chords. An inscribed angle is also measured by its intercepted arc. But, it has one half of the number of degrees of the arc it intercepts. For example, an inscribed angle which is a right angle intercepts a 180 degrees arc. So, we can say that an angle inscribed in a semicircle is a right angle; a 30 degrees inscribed angle intercepts a 60 degrees arc. In the same or congruent circles, congruent inscribed angles have congruent intercepted arcs.
A central angle has its vertex at the center of a circle, and two radii form the Arms. Central angle AOC is described as subtended by the chords AC and by the arc AC. An inscribed angle has its vertex on the circle, and two chords form the arms. Inscribed angle ABC is also described as subtended by the chord AC and by the arc AC.
It is called the central angle. Hope that helped!
In a circle, a central angle is formed by two radii. By definition, the measure of the intercepted arc is equal to the central angle.
A quarter of a circle, formed by two radii forming a right angle at the centre, is called a quadrant.
A central angle.The section of the circle formed by that angle and the part of the circle (the part being the circumference) between the radii is called a sector.
It is a straight angle.
The region bounded by an arc and two radii to the arc's endpoints is known as a sector of a circle. It resembles a "slice" of the circle, with the arc serving as the curved edge and the two radii as the straight edges extending from the center of the circle to the endpoints of the arc. The area of this sector can be calculated based on the angle subtended by the arc at the center and the radius of the circle.